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Share-Based Compensation - Additional information (Details) - USD ($)
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Share-Based Compensation      
Non-employee director retainer common shares per quarter     900
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Available for Grant 782,412    
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost     $ 180,000
Performance-Accelerated Restricted Share Awards      
Share-Based Compensation      
Stock options outstanding 0    
Vesting period 5 years    
Pretax compensation expense $ 4,300,000 $ 4,000,000.0 3,900,000
Compensation Plan for Non-Employee Directors      
Share-Based Compensation      
Pretax compensation expense 1,300,000 1,100,000 1,100,000
Total share-based compensation cost 1,200,000    
Total income tax benefit recognized   1,100,000 1,300,000
Total unrecognized compensation cost related to share-based compensation arrangements $ 8,200,000    
Remaining weighted-average period for recognition of total unrecognized compensation cost 2 years    
Compensation Plan for Non-Employee Directors | Selling, general and administrative expenses      
Share-Based Compensation      
Total share-based compensation cost $ 5,600,000 $ 5,100,000 $ 5,000,000.0